Answer to Question #295123 in Mechanics | Relativity for leonardo

Question #295123

Safawi kicked a ball with an initial speed of 20 ms-1 at 30º angle. If the ball experienced a constant vertical acceleration of -9.81 ms-2, calculate the ball’s maximum height and distance. Explain how soccer player could apply the force of summation theory to optimize his kicks performance.  


1
Expert's answer
2022-02-08T10:12:21-0500

Given:

"v_0=20\\:\\rm m\/s"

"\\theta=30^\\circ"

"g=9.81\\:\\rm m\/s^2"


The maximum height

"h_{\\max}=\\frac{v_0^2\\sin^2\\theta}{2g}=\\frac{20^2\\sin^230^\\circ}{2*9.81}=5.1\\:\\rm m"

The range


"L_{\\max}=\\frac{v_0^2\\sin2\\theta}{g}=\\frac{20^2\\sin60^\\circ}{9.81}=35.3\\:\\rm m"


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